6x-8=16+x^2

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Solution for 6x-8=16+x^2 equation:


Simplifying
6x + -8 = 16 + x2

Reorder the terms:
-8 + 6x = 16 + x2

Solving
-8 + 6x = 16 + x2

Solving for variable 'x'.

Reorder the terms:
-8 + -16 + 6x + -1x2 = 16 + x2 + -16 + -1x2

Combine like terms: -8 + -16 = -24
-24 + 6x + -1x2 = 16 + x2 + -16 + -1x2

Reorder the terms:
-24 + 6x + -1x2 = 16 + -16 + x2 + -1x2

Combine like terms: 16 + -16 = 0
-24 + 6x + -1x2 = 0 + x2 + -1x2
-24 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
24 + -6x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -6x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -6x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -6x + x2 = 0 + -24
-6x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-6x + x2 = -24

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -24 + 9

Reorder the terms:
9 + -6x + x2 = -24 + 9

Combine like terms: -24 + 9 = -15
9 + -6x + x2 = -15

Factor a perfect square on the left side:
(x + -3)(x + -3) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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